An urn contains 1 green 2 red and

  • Slides: 6
Download presentation
An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 2/30 2/5 3/5 1/6 3/30 2/30 1/5 2/6 3/6 1/5 2/30 3/5 6/30 1/5 3/30 2/5 6/30

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 2/30 2/5 3/5 1/6 3/30 What is the probability that both marbles are the same color? 2/30 1/5 2/6 3/6 1/5 2/30 3/5 6/30 1/5 3/30 2/5 6/30 The probability that both marbles are the same color = P(S) = 2/30 + 6/30 = 8/30

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 2/30 2/5 3/5 1/6 3/30 What is the probability that at least one marble is red? 2/30 1/5 2/6 3/6 1/5 2/30 3/5 6/30 1/5 3/30 The probability that at least one marble is red = 2/5 6/30 P(R) = 2/30 +2/30+6/30 = 18/30 2/5 6/30

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 2/30 2/5 3/5 1/6 3/30 2/30 What is the probability that the marbles are the same color AND at least one marble is red? 1/5 2/6 3/6 1/5 2/30 3/5 6/30 1/5 3/30 2/5 6/30 The probability that the marbles are the same color AND at least one marble is red = P(S R) = 2/30

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. P(S) = 8/30 P(R) = 18/30 P(S R) = 2/30 2/5 3/5 1/6 3/30 2/30 What is the probability that the marbles are the same color OR at least one marble is red? 1/5 2/6 3/6 1/5 2/30 3/5 6/30 1/5 3/30 2/5 6/30 The probability that the marbles are the same color OR at least one marble is red = P(S R) = 2/30 + 2/30+6/30 + 6/30 = 24/30 ALSO

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. P(S) = 8/30 P(R) = 18/30 P(S R) = 2/30 2/5 3/5 1/6 3/30 2/30 What is the probability that the marbles are the same color IF at least one marble is red? 1/5 2/6 3/6 1/5 2/30 3/5 6/30 1/5 3/30 2/5 6/30 The probability that the marbles are the same color IF at least one marble is red = P(S / R) =